遍历理论及其在组合数论中的应用

11431012
2014
A0301.常微分方程
叶向东
重点项目
教授
中国科学技术大学
280万元
马尔科夫链;遍历理论;拓扑动力系统;回复性;组合数论
2015-01-01到2019-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Chaotic behavior of discrete-time linear inclusion dynamical systems 期刊论文 Dai Xiongping;Huang Tingwen;Huang Yu;Luo Yi;Wang Gang;Xiao Mingqing
2 Entropy, chaos, and weak horseshoe for infinite-dimensional random dynamical systems 期刊论文 Huang Wen;Lu Kening
3 MINIMAL SUBSHIFTS OF ARBITRARY MEAN TOPOLOGICAL DIMENSION 期刊论文 Dou Dou
4 Strictly ergodic models under face and parallelepiped group actions 期刊论文 Huang Wen;Shao Song;Ye Xiangdong
5 ON UNIFORMLY RECURRENT MOTIONS OF TOPOLOGICAL SEMIGROUP ACTIONS 期刊论文 Chen Bin;Dai Xiongping
6 Dynamical compactness and sensitivity 期刊论文 Huang Wen;Khilko Danylo;Kolyada Sergiĭ;Zhang Guohua
7 Quantitative Recurrence Properties for Systems with Non-uniform Structure 期刊论文 Zhao Cao;Chen Ercai
8 Mean topological dimension for random bundle transformations 期刊论文 Ma Xianfeng;Yang Junqi;Chen Ercai
9 Recent Development of Chaos Theory in Topological Dynamics 期刊论文 Li Jian;Ye Xiang Dong
10 On the set of the difference of primes 期刊论文 Huang Wen;Wu Xiaosheng
11 动力系统的结构及其复杂性研究 奖励 叶向东;黄文;邵松
12 Induced topological pressure for topological dynamical systems 期刊论文 Xing Zhitao;Chen Ercai
13 Almost sure convergence of the multiple ergodic average for certain weakly mixing systems 期刊论文 Gutman Yonatan;Huang Wen;Shao Song;Ye Xiangdong
14 Relative entropy and mean Li-Yorke chaos 期刊论文 Zhou Xiaomin;Chen Ercai;Zhou Xiaoyao
15 Bowen entropy for actions of amenable groups 期刊论文 Zheng Dongmei;Chen Ercai
16 Invariant scrambled sets, uniform rigidity and weak mixing 期刊论文 Foryś Magdalena;Huang Wen;Li Jian;Oprocha Piotr
17 Topological characteristic factors along cubes of minimal systems 期刊论文 Cai Fangzhou;Shao Song
18 Pointwise convergence of multiple ergodic averages and strictly ergodic models 期刊论文 Huang Wen;Shao Song;Ye Xiangdong
19 Uniformly rigid models for rigid actions 期刊论文 Donoso Sebastian;Shao Song
20 An answer to Furstenberg' problem on topological disjointness 期刊论文 Huang Wen;Shao Song;Ye Xiangdong
21 A distal skew product map on the torus with sub-exponential measure complexity 期刊论文 Huang Wen;Xu Leiye;Ye Xiangdong
22 Katok formula for the induced measure-theoretic entropy 期刊论文 Xing Zhitao;Chen Ercai;Yin Zheng
23 Chaotic expansive homeomorphisms on closed orientable surfaces of positive genus 期刊论文 Mai Jiehua;Shao Song
24 Bounded complexity, mean equicontinuity and discrete spectrum 期刊论文 Huang Wen;Li Jian;Thouvent Jean-Paul;Xu Leiye;Ye Xiangdong
25 THE CONDITIONAL VARIATIONAL PRINCIPLE FOR MAPS WITH THE PSEUDO-ORBIT TRACING PROPERTY 期刊论文 Yin Zheng;Chen Ercai
26 Recurrent sets, entropy and independence 期刊论文 Huang Wen;Zhou Xiaomin
27 Chaotic dynamics of continuous-time topological semi-flows on Polish spaces 期刊论文 Dai Xiongping
28 A fixed point theorem of Markov-Kakutani type for a commuting family of convex multivalued maps 期刊论文 Dai Xiongping
29 Dynamics of Bohr almost periodic motions of topological abelian semigroups 期刊论文 Dai Xiongping
30 Multi-recurrence and van der Waerden systems 期刊论文 Kwietniak Dominik;Li Jian;Oprocha Piotr;Ye XiangDong
31 Equicontinuity, uniform almost periodicity, and regionally proximal relation for topological semiflows 期刊论文 Dai Xiongping;Xiao Zubiao
32 Regionally proximal relation of order $d$ along arithmetic progressions and nilsystems 期刊论文 Glasner Eli;Huang Wen;Shao Song;Ye Xiangdong
33 Sensitivity, proximal extension and higher order almost automorphy 期刊论文 Ye Xiangdong;Yu Tao
34 Topological entropy of sets of generic points for actions of amenable groups 期刊论文 Zheng Dongmei;Chen Ercai
35 Topology and topological sequence entropy 期刊论文 Snoha Lubo;Ye Xiangdong;Zhang Ruifeng
36 Special flow, weak mixing and complexity 期刊论文 Huang Wen;Xu Leiye
37 Asymptotic pairs, stable sets and chaos in positive entropy systems 期刊论文 Huang Wen;Xu Leiye;Yi Yingfei
38 The dimensions of the divergence points of self-similar measures with weak separation condition 期刊论文 Zhou Xiaoyao;Chen Ercai
39 Entropy formulae of conditional entropy in mean metrics 期刊论文 Huang Ping;Chen Ercai;Wang Chenwei
40 Equicontinuity of minimal sets for amenable group actions on dendrites 期刊论文 Shi Enhui;Ye Xiangdong
41 Higher order regionally proximal equivalence relations for general minimal group actions 期刊论文 Glasner Eli;Gutman Yonatan;Ye XiangDong
42 Weakly mixing, proximal topological models for ergodic systems and applications 期刊论文 Lian Zhengxing;Shao Song;Ye Xiangdong
43 Periodic points for amenable group actions on dendrites 期刊论文 Shi Enhui;Ye Xiangdong
44 Szemerédi-type theorems for subsets of locally compact abelian groups of positive upper Banach density 期刊论文 Dai Xiongping;Liang Hailan;Tang Xinjia
45 A NOTE ON DIMENSIONAL ENTROPY FOR AMENABLE GROUP ACTIONS 期刊论文 Dou Dou;Zhang Ruifeng
46 Positive topological entropy and Δ-weakly mixing sets 期刊论文 Huang Wen;Li Jian;Ye Xiangdong;Zhou Xiaoyao
47 Finite intersection property and dynamical compactness 期刊论文 Huang Wen;Khilko Danylo;Kolyada Sergiĭ;Peris Alfred;Zhang Guohua
48 On large deviations for amenable group actions 期刊论文 Zheng Dongmei;Chen Ercai;Yang Jiahong
49 When are all closed subsets recurrent? 期刊论文 Li Jie;Oprocha Piotr;Ye Xiangdong;Zhang Ruifeng
50 A non-PI minimal system is Li-Yorke sensitive 期刊论文 Shao Song;Ye Xiangdong
51 Measure complexity and Möbius disjointness 期刊论文 Huang Wen;Wang Zhiren;Ye Xiangdong
52 Topological correspondence of multiple ergodic averages of nilpotent group actions 期刊论文 Huang Wen;Shao Song;Ye Xiangdong
53 Chaotic dynamics of minimal center of attraction of discrete amenable group actions 期刊论文 Chen Zhijing;Dai Xiongping
54 ON UNIVERSAL MINIMAL PROXIMAL FLOWS OF TOPOLOGICAL GROUPS 期刊论文 Dai Xiongping;Glasner Eli
55 Analogues of Auslander-Yorke theorems for multi-sensitivity 期刊论文 Huang Wen;Kolyada Sergiĭ;Zhang Guohua
56 Induced topological pressure and the zero-dimensional extension for BS dimensions 期刊论文 Xing Zhitao;Chen Ercai
57 Möbius disjointness for topological models of ergodic systems with discrete spectrum 期刊论文 Huang Wen;Wang Zhiren;Zhang Guohua
58 On chaotic minimal center of attraction of a Lagrange stable motion for topological semi flows 期刊论文 Dai Xiongping
59 The parallels between topological dynamics and ergodic theory 期刊论文 Huang Wen;Shao Song;Ye Xiangdong
60 TOPOLOGICAL ENTROPY ON SUBSETS FOR FIXED-POINT FREE FLOWS 期刊论文 Dou Dou;Fan Meng;Qiu Hua
61 Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics 期刊论文 Dai Xiongping;Tang Xinjia
62 Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems 期刊论文 Yin Zheng;Chen Ercai;Zhou Xiaoyao
63 Nil Bohr-sets and almost automorphy of higher orde 期刊论文 Huang Wen;Shao Song;Ye Xiangdong
64 ENTROPY DIMENSION OF MEASURE PRESERVING SYSTEMS 期刊论文 Dou Dou;Huang Wen;Park Kyewon Koh
65 On Extensions over Semigroups and Applications 期刊论文 Huang Wen;Jin Lei;Ye Xiangdong
66 Stable sets and mean Li-Yorke chaos in positive entropy actions of bi-orderable amenable groups 期刊论文 Huang Wen;Jin Lei
67 A note on double minimality 期刊论文 Huang Wen;Ye Xiangdong
68 On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers 期刊论文 Dai XiongPing;Liang HaiLan
69 MINIMALITY, DISTALITY AND EQUICONTINUITY FOR SEMIGROUP ACTIONS ON COMPACT HAUSDORFF SPACES 期刊论文 Auslander Joseph;Dai Xiongping
70 Mean Li-Yorke chaos for random dynamical systems 期刊论文 Wang Yunping;Chen Ercai;Zhou Xiaoyao
71 Weighted topological entropy of the set of generic points in topological dynamical systems 期刊论文 Zhao Cao;Chen Ercai;Zhou Xiaoyao;Yin Zheng
72 Relative tail entropy for random bundle transformations 期刊论文 Ma Xianfeng;Yang Junqi;Chen Ercai
73 Variational principle for weighted topological pressure 期刊论文 Feng De-Jun;Huang Wen
74 动力系统中若干回复性问题的新进展 期刊论文 叶向东;邵松
75 ON THE TOPOLOGICAL PRESSURE OF THE SATURATED SET WITH NON-UNIFORM STRUCTURE 期刊论文 Zhao Cao;Chen Ercai
76 Sequences from zero entropy noncommutative toral automorphisms and Sarnak Conjecture 期刊论文 Huang Wen;Lian Zhengxing;Shao Song;Ye Xiangdong
77 Mean topological dimension for random bundle transformations 期刊论文 Ma Xianfeng;Yang Junqi;Chen Ercai
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